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Finding the Fourth Proportional to 12,605.13, 18,895.16 and 6,023.63

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Solution

The fourth proportional to 12,605.13, 18,895.16 and 6,023.63 is: 9,029.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,605.13 : 18,895.16 = 6,023.63 : x
  2. Step 2: Convert to fraction form
    12,605.13/18,895.16 = 6,023.63/x
  3. Step 3: Cross multiply
    12,605.13x = 18,895.16 × 6,023.63
  4. Step 4: Simplify right side
    12,605.13x = 113,817,328.04
  5. Step 5: Solve for x
    x = 113,817,328.04/12,605.13
  6. Step 6: Final answer
    x = 9,029.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.